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Multilevel Fixed and Sequential Acceptance Sampling: The R Package MFSAS

Journal of Statistical Software, 2011
Multilevel acceptance sampling for attributes is used to decide whether a lot from an incoming shipment or outgoing production is accepted or rejected when the product has multiple levels of product quality or multiple types of (mutually exclusive ...
Aaron Childs, Yalin Chen
doaj  

An improved bound for negative binomial approximation with -functions

AKCE International Journal of Graphs and Combinatorics, 2017
In this article, we use Stein’s method together with -functions to give an improved bound for the total variation distance between the distribution of a non-negative integer-valued random variable and the negative binomial distribution with parameters ...
K. Teerapabolarn
doaj   +1 more source

Estimation of Parameters for a Generalized Hypergeometric Distribution Generated by Birth-Death Process

پژوهش‌های ریاضی, 2020
In this paper, we consider a three parametric regularly varying generalized Hypergeometric distribution which have been generated by Birth-Death process for describing phenomena in bioinformatics (Danielian and Astola, 2006).
Davood Farbod
doaj  

A New Double Weighted Fuzzy Hypergeometric Naive Bayes Network and its Application for User’s Assessment in Virtual Reality Simulators

International Journal of Computational Intelligence Systems
Assessment methods have been used for identify the quality of procedures performed by human beings. In virtual reality simulators, user’s interaction data can be collected and utilized by Single User Assessment Systems (SUAS) to assess the user’s ...
Jodavid Ferreira, Liliane S. Machado, Ronei Marcos de Moraes   +2 more
doaj   +1 more source

Non-null Distribution of The Likelihood Ratio Statistic for Testing Multisample Compound Symmetry

Revista Integración, 2004
The non-null distribution of the modified likelihood ratio test statistic Λ∗ for testing multisample compound symmetry of q multivariate Gaussian models is derived.
María E. Castañeda, Daya K. Nagar
doaj  

Elementary tail bounds on the hypergeometric distribution

Communications in Statistics - Theory and Methods
We use a simple method to derive two concentration bounds on the hypergeometric distribution. Comparison with existing results illustrates the advantage of these bounds across different regimes.
Mannalath, Vaisakh, Zapatero, Víctor, Curty, Marcos   +2 more
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HyperQuick algorithm for discrete hypergeometric distribution

Journal of Discrete Algorithms, 2007
The author proves the binomial identity \[ \sum_{k=0}^x {M \choose k}{N-M \choose n-k} = \sum_{m=M}^{N-n+x}{m \choose x}{N-1-m \choose N-m-n+x} \] and then presents an algorithm for computing the cumulative distribution function of a random variable with discrete hypergeometric distribution.
openaire   +1 more source

Chi-Square Approximation for the Distribution of Individual Eigenvalues of a Singular Wishart Matrix

Mathematics
This paper discusses the approximate distributions of eigenvalues of a singular Wishart matrix. We give the approximate joint density of eigenvalues by Laplace approximation for the hypergeometric functions of matrix arguments.
Koki Shimizu, Hiroki Hashiguchi
doaj   +1 more source

On the F-distributions and confluent hypergeometric functions

Bulletin of the Faculty of Science, Ibaraki University. Series A, Mathematics, 1995
For infinitely divisible probability densities of the form \(Cx^{\alpha - 1} (1 + x)^{- \alpha - \beta}\) with \(\alpha, \beta > 0\), which includes the \(F\)-distributions, describing the Lévy measure leads to the problem of solving for \(k\) the equation \[ x^\alpha (1 + x)^{- \alpha - \beta} = \int^x_0 (x - t)^{\alpha - 1} (1 + x - t)^{- \alpha ...
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The tail of the hypergeometric distribution

Discrete Mathematics, 1979
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